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Finding the Fourth Proportional to 264,079.64, 364,430.10 and 143,220.90

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Solution

The fourth proportional to 264,079.64, 364,430.10 and 143,220.90 is: 197,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,079.64 : 364,430.10 = 143,220.90 : x
  2. Step 2: Convert to fraction form
    264,079.64/364,430.10 = 143,220.90/x
  3. Step 3: Cross multiply
    264,079.64x = 364,430.10 × 143,220.90
  4. Step 4: Simplify right side
    264,079.64x = 52,194,006,909.09
  5. Step 5: Solve for x
    x = 52,194,006,909.09/264,079.64
  6. Step 6: Final answer
    x = 197,644.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.